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Finding the Fourth Proportional to 27,370.92, 41,057.52 and 13,342.52

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Solution

The fourth proportional to 27,370.92, 41,057.52 and 13,342.52 is: 20,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,370.92 : 41,057.52 = 13,342.52 : x
  2. Step 2: Convert to fraction form
    27,370.92/41,057.52 = 13,342.52/x
  3. Step 3: Cross multiply
    27,370.92x = 41,057.52 × 13,342.52
  4. Step 4: Simplify right side
    27,370.92x = 547,810,781.75
  5. Step 5: Solve for x
    x = 547,810,781.75/27,370.92
  6. Step 6: Final answer
    x = 20,014.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.